message stringlengths 2 44.5k | message_type stringclasses 2 values | message_id int64 0 1 | conversation_id int64 42 109k | cluster float64 5 5 | __index_level_0__ int64 84 217k |
|---|---|---|---|---|---|
Provide a correct Python 3 solution for this coding contest problem.
Example
Input
3 2
1 2 1
2 3 2
1 10 100
Output
320 | instruction | 0 | 72,457 | 5 | 144,914 |
"Correct Solution:
```
import sys
readline = sys.stdin.readline
write = sys.stdout.write
sys.setrecursionlimit(10**5)
def solve():
N, M = map(int, readline().split())
G = [[] for i in range(N)]
for i in range(N-1):
a, b, c = map(int, readline().split())
G[a-1].append((b-1, c))
G[b-1].append((a-1, c))
*C, = map(int, readline().split())
def dfs(v, p, s, A):
m = 0
for w, d in G[v]:
if w == p:
continue
r = dfs(w, v, s, A) + s*d
if m < r:
m, r = r, m
if r > 0:
A.append(r)
return m
A = []
for i in range(N):
r = dfs(i, -1, C[i], A)
if r > 0:
A.append(r)
A.sort(reverse=1)
write("%d\n" % sum(A[:M]))
solve()
``` | output | 1 | 72,457 | 5 | 144,915 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Cengiz recently learned Fibonacci numbers and now he is studying different algorithms to find them. After getting bored of reading them, he came with his own new type of numbers that he named XORinacci numbers. He defined them as follows:
* f(0) = a;
* f(1) = b;
* f(n) = f(n-1) β f(n-2) when n > 1, where β denotes the [bitwise XOR operation](https://en.wikipedia.org/wiki/Bitwise_operation#XOR).
You are given three integers a, b, and n, calculate f(n).
You have to answer for T independent test cases.
Input
The input contains one or more independent test cases.
The first line of input contains a single integer T (1 β€ T β€ 10^3), the number of test cases.
Each of the T following lines contains three space-separated integers a, b, and n (0 β€ a, b, n β€ 10^9) respectively.
Output
For each test case, output f(n).
Example
Input
3
3 4 2
4 5 0
325 265 1231232
Output
7
4
76
Note
In the first example, f(2) = f(0) β f(1) = 3 β 4 = 7.
Submitted Solution:
```
for t in range (int(input())):
a, b, n = map(int, input().split())
s = a ^ b
if (n + 1) % 3 == 0:
print(s)
elif (n + 1) % 3 == 1:
print(a)
elif (n + 1) % 3 == 2:
print(b)
``` | instruction | 0 | 72,579 | 5 | 145,158 |
Yes | output | 1 | 72,579 | 5 | 145,159 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Cengiz recently learned Fibonacci numbers and now he is studying different algorithms to find them. After getting bored of reading them, he came with his own new type of numbers that he named XORinacci numbers. He defined them as follows:
* f(0) = a;
* f(1) = b;
* f(n) = f(n-1) β f(n-2) when n > 1, where β denotes the [bitwise XOR operation](https://en.wikipedia.org/wiki/Bitwise_operation#XOR).
You are given three integers a, b, and n, calculate f(n).
You have to answer for T independent test cases.
Input
The input contains one or more independent test cases.
The first line of input contains a single integer T (1 β€ T β€ 10^3), the number of test cases.
Each of the T following lines contains three space-separated integers a, b, and n (0 β€ a, b, n β€ 10^9) respectively.
Output
For each test case, output f(n).
Example
Input
3
3 4 2
4 5 0
325 265 1231232
Output
7
4
76
Note
In the first example, f(2) = f(0) β f(1) = 3 β 4 = 7.
Submitted Solution:
```
for _ in range(int(input())):
a, b, n = map(int, input().split())
f = [a, b]
f.append(f[0] ^ f[1])
print(f[n % 3])
# print(f[n])
``` | instruction | 0 | 72,580 | 5 | 145,160 |
Yes | output | 1 | 72,580 | 5 | 145,161 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Cengiz recently learned Fibonacci numbers and now he is studying different algorithms to find them. After getting bored of reading them, he came with his own new type of numbers that he named XORinacci numbers. He defined them as follows:
* f(0) = a;
* f(1) = b;
* f(n) = f(n-1) β f(n-2) when n > 1, where β denotes the [bitwise XOR operation](https://en.wikipedia.org/wiki/Bitwise_operation#XOR).
You are given three integers a, b, and n, calculate f(n).
You have to answer for T independent test cases.
Input
The input contains one or more independent test cases.
The first line of input contains a single integer T (1 β€ T β€ 10^3), the number of test cases.
Each of the T following lines contains three space-separated integers a, b, and n (0 β€ a, b, n β€ 10^9) respectively.
Output
For each test case, output f(n).
Example
Input
3
3 4 2
4 5 0
325 265 1231232
Output
7
4
76
Note
In the first example, f(2) = f(0) β f(1) = 3 β 4 = 7.
Submitted Solution:
```
for _ in range(int(input())):
a,b,n=list(map(int,input().split()))
c=a^b
if n%3 == 0:
print(a)
if n%3 == 1:
print(b)
if n%3 == 2:
print(c)
``` | instruction | 0 | 72,581 | 5 | 145,162 |
Yes | output | 1 | 72,581 | 5 | 145,163 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Cengiz recently learned Fibonacci numbers and now he is studying different algorithms to find them. After getting bored of reading them, he came with his own new type of numbers that he named XORinacci numbers. He defined them as follows:
* f(0) = a;
* f(1) = b;
* f(n) = f(n-1) β f(n-2) when n > 1, where β denotes the [bitwise XOR operation](https://en.wikipedia.org/wiki/Bitwise_operation#XOR).
You are given three integers a, b, and n, calculate f(n).
You have to answer for T independent test cases.
Input
The input contains one or more independent test cases.
The first line of input contains a single integer T (1 β€ T β€ 10^3), the number of test cases.
Each of the T following lines contains three space-separated integers a, b, and n (0 β€ a, b, n β€ 10^9) respectively.
Output
For each test case, output f(n).
Example
Input
3
3 4 2
4 5 0
325 265 1231232
Output
7
4
76
Note
In the first example, f(2) = f(0) β f(1) = 3 β 4 = 7.
Submitted Solution:
```
def main():
t=int(input())
for i in range(t):
a,b,n=map(int,input().split())
if (n+1)%3==2:
print(b)
elif (n+1)%3==1:
print(a)
else:
print(a^b)
main()
``` | instruction | 0 | 72,582 | 5 | 145,164 |
Yes | output | 1 | 72,582 | 5 | 145,165 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Cengiz recently learned Fibonacci numbers and now he is studying different algorithms to find them. After getting bored of reading them, he came with his own new type of numbers that he named XORinacci numbers. He defined them as follows:
* f(0) = a;
* f(1) = b;
* f(n) = f(n-1) β f(n-2) when n > 1, where β denotes the [bitwise XOR operation](https://en.wikipedia.org/wiki/Bitwise_operation#XOR).
You are given three integers a, b, and n, calculate f(n).
You have to answer for T independent test cases.
Input
The input contains one or more independent test cases.
The first line of input contains a single integer T (1 β€ T β€ 10^3), the number of test cases.
Each of the T following lines contains three space-separated integers a, b, and n (0 β€ a, b, n β€ 10^9) respectively.
Output
For each test case, output f(n).
Example
Input
3
3 4 2
4 5 0
325 265 1231232
Output
7
4
76
Note
In the first example, f(2) = f(0) β f(1) = 3 β 4 = 7.
Submitted Solution:
```
t=int(input())
for i in range(t):
a,b,n=input().split()
a=int(a)
b=int(b)
n=int(n)
if(n==0):
print(a)
elif(n==1):
print(b)
else:
if(n%3==0):
print(a)
else:
print(a^b)
``` | instruction | 0 | 72,583 | 5 | 145,166 |
No | output | 1 | 72,583 | 5 | 145,167 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Cengiz recently learned Fibonacci numbers and now he is studying different algorithms to find them. After getting bored of reading them, he came with his own new type of numbers that he named XORinacci numbers. He defined them as follows:
* f(0) = a;
* f(1) = b;
* f(n) = f(n-1) β f(n-2) when n > 1, where β denotes the [bitwise XOR operation](https://en.wikipedia.org/wiki/Bitwise_operation#XOR).
You are given three integers a, b, and n, calculate f(n).
You have to answer for T independent test cases.
Input
The input contains one or more independent test cases.
The first line of input contains a single integer T (1 β€ T β€ 10^3), the number of test cases.
Each of the T following lines contains three space-separated integers a, b, and n (0 β€ a, b, n β€ 10^9) respectively.
Output
For each test case, output f(n).
Example
Input
3
3 4 2
4 5 0
325 265 1231232
Output
7
4
76
Note
In the first example, f(2) = f(0) β f(1) = 3 β 4 = 7.
Submitted Solution:
```
def problem():
T = int(input())
while T:
inp = input().split(' ')
a = int(inp[0])
b = int(inp[1])
n = int(inp[2])
if n==0:
print(a)
elif n==1:
print(b)
elif n==2:
print(a^b)
else:
if n%3==0:
print(b)
elif n%3==1:
print(a)
else:
print(a^b)
T = T-1
if __name__=='__main__':
problem()
``` | instruction | 0 | 72,584 | 5 | 145,168 |
No | output | 1 | 72,584 | 5 | 145,169 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Cengiz recently learned Fibonacci numbers and now he is studying different algorithms to find them. After getting bored of reading them, he came with his own new type of numbers that he named XORinacci numbers. He defined them as follows:
* f(0) = a;
* f(1) = b;
* f(n) = f(n-1) β f(n-2) when n > 1, where β denotes the [bitwise XOR operation](https://en.wikipedia.org/wiki/Bitwise_operation#XOR).
You are given three integers a, b, and n, calculate f(n).
You have to answer for T independent test cases.
Input
The input contains one or more independent test cases.
The first line of input contains a single integer T (1 β€ T β€ 10^3), the number of test cases.
Each of the T following lines contains three space-separated integers a, b, and n (0 β€ a, b, n β€ 10^9) respectively.
Output
For each test case, output f(n).
Example
Input
3
3 4 2
4 5 0
325 265 1231232
Output
7
4
76
Note
In the first example, f(2) = f(0) β f(1) = 3 β 4 = 7.
Submitted Solution:
```
enter_num = int(input())
list_num = []
for i in range(enter_num):
list_num.extend(list(map(int,input().split())))
j = 0
i = 0
f = False
while j < enter_num*3:
f_0 = list_num[j]
f_1 = list_num[j+1]
n = list_num[j+2]
if n >= 1 and i < n-1:
f = True
f_1 = f_1^f_0
f_0 = f_1^f_0
i += 1
elif n == 0:
print(f_0)
break
else:
print("not possible")
if f:
j += 3
print(f_1)
``` | instruction | 0 | 72,585 | 5 | 145,170 |
No | output | 1 | 72,585 | 5 | 145,171 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Cengiz recently learned Fibonacci numbers and now he is studying different algorithms to find them. After getting bored of reading them, he came with his own new type of numbers that he named XORinacci numbers. He defined them as follows:
* f(0) = a;
* f(1) = b;
* f(n) = f(n-1) β f(n-2) when n > 1, where β denotes the [bitwise XOR operation](https://en.wikipedia.org/wiki/Bitwise_operation#XOR).
You are given three integers a, b, and n, calculate f(n).
You have to answer for T independent test cases.
Input
The input contains one or more independent test cases.
The first line of input contains a single integer T (1 β€ T β€ 10^3), the number of test cases.
Each of the T following lines contains three space-separated integers a, b, and n (0 β€ a, b, n β€ 10^9) respectively.
Output
For each test case, output f(n).
Example
Input
3
3 4 2
4 5 0
325 265 1231232
Output
7
4
76
Note
In the first example, f(2) = f(0) β f(1) = 3 β 4 = 7.
Submitted Solution:
```
t = int(input())
while(t>0):
t=t-1
a,b,n = list(map(int,input().split()))
x = a ^ b
if(n%3 == 0):
print(a)
if(n%3 == 1):
print(b)
if(x%3 == 2):
print(x)
``` | instruction | 0 | 72,586 | 5 | 145,172 |
No | output | 1 | 72,586 | 5 | 145,173 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
You are given an integer n. In one move, you can either multiply n by two or divide n by 6 (if it is divisible by 6 without the remainder).
Your task is to find the minimum number of moves needed to obtain 1 from n or determine if it's impossible to do that.
You have to answer t independent test cases.
Input
The first line of the input contains one integer t (1 β€ t β€ 2 β
10^4) β the number of test cases. Then t test cases follow.
The only line of the test case contains one integer n (1 β€ n β€ 10^9).
Output
For each test case, print the answer β the minimum number of moves needed to obtain 1 from n if it's possible to do that or -1 if it's impossible to obtain 1 from n.
Example
Input
7
1
2
3
12
12345
15116544
387420489
Output
0
-1
2
-1
-1
12
36
Note
Consider the sixth test case of the example. The answer can be obtained by the following sequence of moves from the given integer 15116544:
1. Divide by 6 and get 2519424;
2. divide by 6 and get 419904;
3. divide by 6 and get 69984;
4. divide by 6 and get 11664;
5. multiply by 2 and get 23328;
6. divide by 6 and get 3888;
7. divide by 6 and get 648;
8. divide by 6 and get 108;
9. multiply by 2 and get 216;
10. divide by 6 and get 36;
11. divide by 6 and get 6;
12. divide by 6 and get 1.
Submitted Solution:
```
from math import log
def solve():
n = int(input())
st3 = 0
while n % 3 == 0:
st3 += 1
n /= 3
st2 = int(log(n, 2))
if 2**st2 != n or st2 > st3:
print(-1)
else:
print(st3 - st2 + st3)
t = int(input())
for _ in range(t):
solve()
``` | instruction | 0 | 72,699 | 5 | 145,398 |
Yes | output | 1 | 72,699 | 5 | 145,399 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Bessie and the cows have recently been playing with "cool" sequences and are trying to construct some. Unfortunately they are bad at arithmetic, so they need your help!
A pair (x, y) of positive integers is "cool" if x can be expressed as the sum of y consecutive integers (not necessarily positive). A sequence (a1, a2, ..., an) is "cool" if the pairs (a1, a2), (a2, a3), ..., (an - 1, an) are all cool.
The cows have a sequence of n positive integers, a1, a2, ..., an. In one move, they may replace some ai with any other positive integer (there are no other limits on the new value of ai). Determine the smallest number of moves needed to make the resulting sequence cool.
Input
The first line contains a single integer, n (2 β€ n β€ 5000). The next line contains n space-separated integers, a1, a2, ..., an (1 β€ ai β€ 1015).
Please do not use the %lld specifier to read or write 64-bit integers in Π‘++. It is preferred to use the cin, cout streams or the %I64d specifier.
Output
A single integer, the minimum number of ai that must be changed to make the sequence cool.
Examples
Input
3
6 4 1
Output
0
Input
4
20 6 3 4
Output
2
Note
In the first sample, the sequence is already cool, so we don't need to change any elements. In the second sample, we can change a2 to 5 and a3 to 10 to make (20, 5, 10, 4) which is cool. This changes 2 elements.
Submitted Solution:
```
def cool():
n = int(input())
l = list(map(int, input().split()))
#l.append(0)
v = [0] * 10001
for i in range(0, len(l)):
while(l[i] % 2 == 0):
l[i] = l[i] // 2
v[i] = v[i] + 1
#print(l)
ans = 0
dp = [0] * 10001
for i in range(0, n):
dp[i] = 1
for j in range(0, i):
if l[j] % l[i] == 0:
dp[i] = max(dp[i], dp[j] + 1)
ans = max(ans, dp[i])
print(n - ans)
cool()
``` | instruction | 0 | 72,821 | 5 | 145,642 |
No | output | 1 | 72,821 | 5 | 145,643 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Bessie and the cows have recently been playing with "cool" sequences and are trying to construct some. Unfortunately they are bad at arithmetic, so they need your help!
A pair (x, y) of positive integers is "cool" if x can be expressed as the sum of y consecutive integers (not necessarily positive). A sequence (a1, a2, ..., an) is "cool" if the pairs (a1, a2), (a2, a3), ..., (an - 1, an) are all cool.
The cows have a sequence of n positive integers, a1, a2, ..., an. In one move, they may replace some ai with any other positive integer (there are no other limits on the new value of ai). Determine the smallest number of moves needed to make the resulting sequence cool.
Input
The first line contains a single integer, n (2 β€ n β€ 5000). The next line contains n space-separated integers, a1, a2, ..., an (1 β€ ai β€ 1015).
Please do not use the %lld specifier to read or write 64-bit integers in Π‘++. It is preferred to use the cin, cout streams or the %I64d specifier.
Output
A single integer, the minimum number of ai that must be changed to make the sequence cool.
Examples
Input
3
6 4 1
Output
0
Input
4
20 6 3 4
Output
2
Note
In the first sample, the sequence is already cool, so we don't need to change any elements. In the second sample, we can change a2 to 5 and a3 to 10 to make (20, 5, 10, 4) which is cool. This changes 2 elements.
Submitted Solution:
```
def cool():
n = int(input())
l = list(map(int, input().split()))
v = [0] * 10001
for i in range(0, len(l)):
while(l[i] % 2 == 0):
l[i] = l[i] // 2
v[i] = v[i] + 1
ans = 0
dp = [0] * 10001
for i in range(0, n):
dp[i] = 1
for j in range(0, i - 1):
if l[j] % l[i] == 0:
dp[i] = max(dp[i], dp[j] + 1)
ans = max(ans, dp[i])
print(n - ans)
cool()
``` | instruction | 0 | 72,822 | 5 | 145,644 |
No | output | 1 | 72,822 | 5 | 145,645 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Jzzhu have n non-negative integers a1, a2, ..., an. We will call a sequence of indexes i1, i2, ..., ik (1 β€ i1 < i2 < ... < ik β€ n) a group of size k.
Jzzhu wonders, how many groups exists such that ai1 & ai2 & ... & aik = 0 (1 β€ k β€ n)? Help him and print this number modulo 1000000007 (109 + 7). Operation x & y denotes bitwise AND operation of two numbers.
Input
The first line contains a single integer n (1 β€ n β€ 106). The second line contains n integers a1, a2, ..., an (0 β€ ai β€ 106).
Output
Output a single integer representing the number of required groups modulo 1000000007 (109 + 7).
Examples
Input
3
2 3 3
Output
0
Input
4
0 1 2 3
Output
10
Input
6
5 2 0 5 2 1
Output
53
Submitted Solution:
```
print("oh no")#3uithwu9th9e4htg9ghr49th9eht9e4htg9jhe498ujh9e54y
``` | instruction | 0 | 72,871 | 5 | 145,742 |
No | output | 1 | 72,871 | 5 | 145,743 |
Provide a correct Python 3 solution for this coding contest problem.
Print the K-th element of the following sequence of length 32:
1, 1, 1, 2, 1, 2, 1, 5, 2, 2, 1, 5, 1, 2, 1, 14, 1, 5, 1, 5, 2, 2, 1, 15, 2, 2, 5, 4, 1, 4, 1, 51
Constraints
* 1 \leq K \leq 32
* All values in input are integers.
Input
Input is given from Standard Input in the following format:
K
Output
Print the K-th element.
Examples
Input
6
Output
2
Input
27
Output
5 | instruction | 0 | 73,086 | 5 | 146,172 |
"Correct Solution:
```
seq = [1, 1, 1, 2, 1, 2, 1, 5, 2, 2, 1, 5, 1, 2, 1, 14, 1, 5, 1, 5, 2, 2, 1, 15, 2, 2, 5, 4, 1, 4, 1, 51]
print(seq[int(input()) - 1])
``` | output | 1 | 73,086 | 5 | 146,173 |
Provide a correct Python 3 solution for this coding contest problem.
Print the K-th element of the following sequence of length 32:
1, 1, 1, 2, 1, 2, 1, 5, 2, 2, 1, 5, 1, 2, 1, 14, 1, 5, 1, 5, 2, 2, 1, 15, 2, 2, 5, 4, 1, 4, 1, 51
Constraints
* 1 \leq K \leq 32
* All values in input are integers.
Input
Input is given from Standard Input in the following format:
K
Output
Print the K-th element.
Examples
Input
6
Output
2
Input
27
Output
5 | instruction | 0 | 73,087 | 5 | 146,174 |
"Correct Solution:
```
x=[1, 1, 1, 2, 1, 2, 1, 5, 2, 2, 1, 5, 1, 2, 1, 14, 1, 5, 1, 5, 2, 2, 1, 15, 2, 2, 5, 4, 1, 4, 1, 51]
n=int(input())
print(x[n-1])
``` | output | 1 | 73,087 | 5 | 146,175 |
Provide a correct Python 3 solution for this coding contest problem.
Print the K-th element of the following sequence of length 32:
1, 1, 1, 2, 1, 2, 1, 5, 2, 2, 1, 5, 1, 2, 1, 14, 1, 5, 1, 5, 2, 2, 1, 15, 2, 2, 5, 4, 1, 4, 1, 51
Constraints
* 1 \leq K \leq 32
* All values in input are integers.
Input
Input is given from Standard Input in the following format:
K
Output
Print the K-th element.
Examples
Input
6
Output
2
Input
27
Output
5 | instruction | 0 | 73,088 | 5 | 146,176 |
"Correct Solution:
```
K=int(input())
S=[1, 1, 1, 2, 1, 2, 1, 5, 2, 2, 1, 5, 1, 2, 1, 14, 1, 5, 1, 5, 2, 2, 1, 15, 2, 2, 5, 4, 1, 4, 1, 51]
print(S[K-1])
``` | output | 1 | 73,088 | 5 | 146,177 |
Provide a correct Python 3 solution for this coding contest problem.
Print the K-th element of the following sequence of length 32:
1, 1, 1, 2, 1, 2, 1, 5, 2, 2, 1, 5, 1, 2, 1, 14, 1, 5, 1, 5, 2, 2, 1, 15, 2, 2, 5, 4, 1, 4, 1, 51
Constraints
* 1 \leq K \leq 32
* All values in input are integers.
Input
Input is given from Standard Input in the following format:
K
Output
Print the K-th element.
Examples
Input
6
Output
2
Input
27
Output
5 | instruction | 0 | 73,089 | 5 | 146,178 |
"Correct Solution:
```
_ = [1, 1, 1, 2, 1, 2, 1, 5, 2, 2, 1, 5, 1, 2, 1, 14, 1, 5, 1, 5, 2, 2, 1, 15, 2, 2, 5, 4, 1, 4, 1, 51]
K = int(input())
print(_[K-1])
``` | output | 1 | 73,089 | 5 | 146,179 |
Provide a correct Python 3 solution for this coding contest problem.
Print the K-th element of the following sequence of length 32:
1, 1, 1, 2, 1, 2, 1, 5, 2, 2, 1, 5, 1, 2, 1, 14, 1, 5, 1, 5, 2, 2, 1, 15, 2, 2, 5, 4, 1, 4, 1, 51
Constraints
* 1 \leq K \leq 32
* All values in input are integers.
Input
Input is given from Standard Input in the following format:
K
Output
Print the K-th element.
Examples
Input
6
Output
2
Input
27
Output
5 | instruction | 0 | 73,090 | 5 | 146,180 |
"Correct Solution:
```
K=[1, 1, 1, 2, 1, 2, 1, 5, 2, 2, 1, 5, 1, 2, 1, 14, 1, 5, 1, 5, 2, 2, 1, 15, 2, 2, 5, 4, 1, 4, 1, 51]
a = int(input())-1
print(K[a])
``` | output | 1 | 73,090 | 5 | 146,181 |
Provide a correct Python 3 solution for this coding contest problem.
Print the K-th element of the following sequence of length 32:
1, 1, 1, 2, 1, 2, 1, 5, 2, 2, 1, 5, 1, 2, 1, 14, 1, 5, 1, 5, 2, 2, 1, 15, 2, 2, 5, 4, 1, 4, 1, 51
Constraints
* 1 \leq K \leq 32
* All values in input are integers.
Input
Input is given from Standard Input in the following format:
K
Output
Print the K-th element.
Examples
Input
6
Output
2
Input
27
Output
5 | instruction | 0 | 73,091 | 5 | 146,182 |
"Correct Solution:
```
arr = [1,1,1,2,1,2,1,5,2,2,1,5,1,2,1,14,1,5,1,5,2,2,1,15,2,2,5,4,1,4,1,51]
k=int(input())
k -= 1
print(arr[k])
``` | output | 1 | 73,091 | 5 | 146,183 |
Provide a correct Python 3 solution for this coding contest problem.
Print the K-th element of the following sequence of length 32:
1, 1, 1, 2, 1, 2, 1, 5, 2, 2, 1, 5, 1, 2, 1, 14, 1, 5, 1, 5, 2, 2, 1, 15, 2, 2, 5, 4, 1, 4, 1, 51
Constraints
* 1 \leq K \leq 32
* All values in input are integers.
Input
Input is given from Standard Input in the following format:
K
Output
Print the K-th element.
Examples
Input
6
Output
2
Input
27
Output
5 | instruction | 0 | 73,092 | 5 | 146,184 |
"Correct Solution:
```
n = [1, 1, 1, 2, 1, 2, 1, 5, 2, 2, 1, 5, 1, 2, 1, 14, 1, 5, 1, 5, 2, 2, 1, 15, 2, 2, 5, 4, 1, 4, 1, 51]
x = int(input())
print(n[x-1])
``` | output | 1 | 73,092 | 5 | 146,185 |
Provide a correct Python 3 solution for this coding contest problem.
Print the K-th element of the following sequence of length 32:
1, 1, 1, 2, 1, 2, 1, 5, 2, 2, 1, 5, 1, 2, 1, 14, 1, 5, 1, 5, 2, 2, 1, 15, 2, 2, 5, 4, 1, 4, 1, 51
Constraints
* 1 \leq K \leq 32
* All values in input are integers.
Input
Input is given from Standard Input in the following format:
K
Output
Print the K-th element.
Examples
Input
6
Output
2
Input
27
Output
5 | instruction | 0 | 73,093 | 5 | 146,186 |
"Correct Solution:
```
L = [1, 1, 1, 2, 1, 2, 1, 5, 2, 2, 1, 5, 1, 2, 1, 14, 1, 5, 1, 5, 2, 2, 1, 15, 2, 2, 5, 4, 1, 4, 1, 51]
a = int(input())
print(L[a-1])
``` | output | 1 | 73,093 | 5 | 146,187 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Print the K-th element of the following sequence of length 32:
1, 1, 1, 2, 1, 2, 1, 5, 2, 2, 1, 5, 1, 2, 1, 14, 1, 5, 1, 5, 2, 2, 1, 15, 2, 2, 5, 4, 1, 4, 1, 51
Constraints
* 1 \leq K \leq 32
* All values in input are integers.
Input
Input is given from Standard Input in the following format:
K
Output
Print the K-th element.
Examples
Input
6
Output
2
Input
27
Output
5
Submitted Solution:
```
a = int(input())
b = [1, 1, 1, 2, 1, 2, 1, 5, 2, 2, 1, 5, 1, 2, 1, 14, 1, 5, 1, 5, 2, 2, 1, 15, 2, 2, 5, 4, 1, 4, 1, 51]
print(b[a-1])
``` | instruction | 0 | 73,094 | 5 | 146,188 |
Yes | output | 1 | 73,094 | 5 | 146,189 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Print the K-th element of the following sequence of length 32:
1, 1, 1, 2, 1, 2, 1, 5, 2, 2, 1, 5, 1, 2, 1, 14, 1, 5, 1, 5, 2, 2, 1, 15, 2, 2, 5, 4, 1, 4, 1, 51
Constraints
* 1 \leq K \leq 32
* All values in input are integers.
Input
Input is given from Standard Input in the following format:
K
Output
Print the K-th element.
Examples
Input
6
Output
2
Input
27
Output
5
Submitted Solution:
```
a=[1, 1, 1, 2, 1, 2, 1, 5, 2, 2, 1, 5, 1, 2, 1, 14, 1, 5, 1, 5, 2, 2, 1, 15, 2, 2, 5, 4, 1, 4, 1, 51]
N=input()
print(a[int(N)-1])
``` | instruction | 0 | 73,095 | 5 | 146,190 |
Yes | output | 1 | 73,095 | 5 | 146,191 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Print the K-th element of the following sequence of length 32:
1, 1, 1, 2, 1, 2, 1, 5, 2, 2, 1, 5, 1, 2, 1, 14, 1, 5, 1, 5, 2, 2, 1, 15, 2, 2, 5, 4, 1, 4, 1, 51
Constraints
* 1 \leq K \leq 32
* All values in input are integers.
Input
Input is given from Standard Input in the following format:
K
Output
Print the K-th element.
Examples
Input
6
Output
2
Input
27
Output
5
Submitted Solution:
```
s = [1, 1, 1, 2, 1, 2, 1, 5, 2, 2, 1, 5, 1, 2, 1, 14, 1, 5, 1, 5, 2, 2, 1, 15, 2, 2, 5, 4, 1, 4, 1, 51]
print(s[int(input())-1])
``` | instruction | 0 | 73,096 | 5 | 146,192 |
Yes | output | 1 | 73,096 | 5 | 146,193 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Print the K-th element of the following sequence of length 32:
1, 1, 1, 2, 1, 2, 1, 5, 2, 2, 1, 5, 1, 2, 1, 14, 1, 5, 1, 5, 2, 2, 1, 15, 2, 2, 5, 4, 1, 4, 1, 51
Constraints
* 1 \leq K \leq 32
* All values in input are integers.
Input
Input is given from Standard Input in the following format:
K
Output
Print the K-th element.
Examples
Input
6
Output
2
Input
27
Output
5
Submitted Solution:
```
l=[0,1, 1, 1, 2, 1, 2, 1, 5, 2, 2, 1, 5, 1, 2, 1, 14, 1, 5, 1, 5, 2, 2, 1, 15, 2, 2, 5, 4, 1, 4, 1, 51]
print(l[int(input())])
``` | instruction | 0 | 73,097 | 5 | 146,194 |
Yes | output | 1 | 73,097 | 5 | 146,195 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Print the K-th element of the following sequence of length 32:
1, 1, 1, 2, 1, 2, 1, 5, 2, 2, 1, 5, 1, 2, 1, 14, 1, 5, 1, 5, 2, 2, 1, 15, 2, 2, 5, 4, 1, 4, 1, 51
Constraints
* 1 \leq K \leq 32
* All values in input are integers.
Input
Input is given from Standard Input in the following format:
K
Output
Print the K-th element.
Examples
Input
6
Output
2
Input
27
Output
5
Submitted Solution:
```
elements = [1, 1, 1, 2, 1, 2, 1, 5, 2, 2, 1, 5, 1, 2, 1, 14, 1, 5, 1, 5, 2, 2, 1, 15, 2, 2, 5, 4, 1, 4, 1, 51]
K = 20
th = K-1
print(elements[th])
``` | instruction | 0 | 73,098 | 5 | 146,196 |
No | output | 1 | 73,098 | 5 | 146,197 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Print the K-th element of the following sequence of length 32:
1, 1, 1, 2, 1, 2, 1, 5, 2, 2, 1, 5, 1, 2, 1, 14, 1, 5, 1, 5, 2, 2, 1, 15, 2, 2, 5, 4, 1, 4, 1, 51
Constraints
* 1 \leq K \leq 32
* All values in input are integers.
Input
Input is given from Standard Input in the following format:
K
Output
Print the K-th element.
Examples
Input
6
Output
2
Input
27
Output
5
Submitted Solution:
```
s = (1, 1, 1, 2, 1, 2, 1, 5, 2, 2, 1, 5, 1, 2, 1, 14, 1, 5, 1, 5, 2, 2, 1, 15, 2, 2, 5, 4, 1, 4, 1, 51)
k = input()
k = int(K)
print(s[k+1])
``` | instruction | 0 | 73,099 | 5 | 146,198 |
No | output | 1 | 73,099 | 5 | 146,199 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Print the K-th element of the following sequence of length 32:
1, 1, 1, 2, 1, 2, 1, 5, 2, 2, 1, 5, 1, 2, 1, 14, 1, 5, 1, 5, 2, 2, 1, 15, 2, 2, 5, 4, 1, 4, 1, 51
Constraints
* 1 \leq K \leq 32
* All values in input are integers.
Input
Input is given from Standard Input in the following format:
K
Output
Print the K-th element.
Examples
Input
6
Output
2
Input
27
Output
5
Submitted Solution:
```
k = input()
i = k - 1
arr = [1, 1, 1, 2, 1, 2, 1, 5, 2, 2, 1, 5, 1, 2, 1, 14, 1, 5, 1, 5, 2, 2, 1, 15, 2, 2, 5, 4, 1, 4, 1, 51
]
print(arr[i])
``` | instruction | 0 | 73,100 | 5 | 146,200 |
No | output | 1 | 73,100 | 5 | 146,201 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Print the K-th element of the following sequence of length 32:
1, 1, 1, 2, 1, 2, 1, 5, 2, 2, 1, 5, 1, 2, 1, 14, 1, 5, 1, 5, 2, 2, 1, 15, 2, 2, 5, 4, 1, 4, 1, 51
Constraints
* 1 \leq K \leq 32
* All values in input are integers.
Input
Input is given from Standard Input in the following format:
K
Output
Print the K-th element.
Examples
Input
6
Output
2
Input
27
Output
5
Submitted Solution:
```
import math
h,w = list(map(int,input().split()))
x = (h*w)
if h ==1 or h == 1:
print(1)
else:
y = int(x /2)
if x%2 == 0:
print(y)
else:
print(y+1)
``` | instruction | 0 | 73,101 | 5 | 146,202 |
No | output | 1 | 73,101 | 5 | 146,203 |
Provide a correct Python 3 solution for this coding contest problem.
You are given N positive integers a_1, a_2, ..., a_N.
For a non-negative integer m, let f(m) = (m\ mod\ a_1) + (m\ mod\ a_2) + ... + (m\ mod\ a_N).
Here, X\ mod\ Y denotes the remainder of the division of X by Y.
Find the maximum value of f.
Constraints
* All values in input are integers.
* 2 \leq N \leq 3000
* 2 \leq a_i \leq 10^5
Input
Input is given from Standard Input in the following format:
N
a_1 a_2 ... a_N
Output
Print the maximum value of f.
Examples
Input
3
3 4 6
Output
10
Input
5
7 46 11 20 11
Output
90
Input
7
994 518 941 851 647 2 581
Output
4527 | instruction | 0 | 73,135 | 5 | 146,270 |
"Correct Solution:
```
n=int(input())
a=list(map(int,input().split()))
sum_a=sum(a)
print(sum_a-n)
``` | output | 1 | 73,135 | 5 | 146,271 |
Provide a correct Python 3 solution for this coding contest problem.
You are given N positive integers a_1, a_2, ..., a_N.
For a non-negative integer m, let f(m) = (m\ mod\ a_1) + (m\ mod\ a_2) + ... + (m\ mod\ a_N).
Here, X\ mod\ Y denotes the remainder of the division of X by Y.
Find the maximum value of f.
Constraints
* All values in input are integers.
* 2 \leq N \leq 3000
* 2 \leq a_i \leq 10^5
Input
Input is given from Standard Input in the following format:
N
a_1 a_2 ... a_N
Output
Print the maximum value of f.
Examples
Input
3
3 4 6
Output
10
Input
5
7 46 11 20 11
Output
90
Input
7
994 518 941 851 647 2 581
Output
4527 | instruction | 0 | 73,136 | 5 | 146,272 |
"Correct Solution:
```
N=int(input())
print(sum(list(map(int, input().split())))-N)
``` | output | 1 | 73,136 | 5 | 146,273 |
Provide a correct Python 3 solution for this coding contest problem.
You are given N positive integers a_1, a_2, ..., a_N.
For a non-negative integer m, let f(m) = (m\ mod\ a_1) + (m\ mod\ a_2) + ... + (m\ mod\ a_N).
Here, X\ mod\ Y denotes the remainder of the division of X by Y.
Find the maximum value of f.
Constraints
* All values in input are integers.
* 2 \leq N \leq 3000
* 2 \leq a_i \leq 10^5
Input
Input is given from Standard Input in the following format:
N
a_1 a_2 ... a_N
Output
Print the maximum value of f.
Examples
Input
3
3 4 6
Output
10
Input
5
7 46 11 20 11
Output
90
Input
7
994 518 941 851 647 2 581
Output
4527 | instruction | 0 | 73,137 | 5 | 146,274 |
"Correct Solution:
```
n=int(input())
li = list(map(int,input().split()))
print(sum(li)-len(li))
``` | output | 1 | 73,137 | 5 | 146,275 |
Provide a correct Python 3 solution for this coding contest problem.
You are given N positive integers a_1, a_2, ..., a_N.
For a non-negative integer m, let f(m) = (m\ mod\ a_1) + (m\ mod\ a_2) + ... + (m\ mod\ a_N).
Here, X\ mod\ Y denotes the remainder of the division of X by Y.
Find the maximum value of f.
Constraints
* All values in input are integers.
* 2 \leq N \leq 3000
* 2 \leq a_i \leq 10^5
Input
Input is given from Standard Input in the following format:
N
a_1 a_2 ... a_N
Output
Print the maximum value of f.
Examples
Input
3
3 4 6
Output
10
Input
5
7 46 11 20 11
Output
90
Input
7
994 518 941 851 647 2 581
Output
4527 | instruction | 0 | 73,138 | 5 | 146,276 |
"Correct Solution:
```
N = int(input())
lst = list(map(int, input().split()))
print (sum(lst)-N)
``` | output | 1 | 73,138 | 5 | 146,277 |
Provide a correct Python 3 solution for this coding contest problem.
You are given N positive integers a_1, a_2, ..., a_N.
For a non-negative integer m, let f(m) = (m\ mod\ a_1) + (m\ mod\ a_2) + ... + (m\ mod\ a_N).
Here, X\ mod\ Y denotes the remainder of the division of X by Y.
Find the maximum value of f.
Constraints
* All values in input are integers.
* 2 \leq N \leq 3000
* 2 \leq a_i \leq 10^5
Input
Input is given from Standard Input in the following format:
N
a_1 a_2 ... a_N
Output
Print the maximum value of f.
Examples
Input
3
3 4 6
Output
10
Input
5
7 46 11 20 11
Output
90
Input
7
994 518 941 851 647 2 581
Output
4527 | instruction | 0 | 73,139 | 5 | 146,278 |
"Correct Solution:
```
N = int(input())
A = map(int,input().split())
print(sum(A)-N)
``` | output | 1 | 73,139 | 5 | 146,279 |
Provide a correct Python 3 solution for this coding contest problem.
You are given N positive integers a_1, a_2, ..., a_N.
For a non-negative integer m, let f(m) = (m\ mod\ a_1) + (m\ mod\ a_2) + ... + (m\ mod\ a_N).
Here, X\ mod\ Y denotes the remainder of the division of X by Y.
Find the maximum value of f.
Constraints
* All values in input are integers.
* 2 \leq N \leq 3000
* 2 \leq a_i \leq 10^5
Input
Input is given from Standard Input in the following format:
N
a_1 a_2 ... a_N
Output
Print the maximum value of f.
Examples
Input
3
3 4 6
Output
10
Input
5
7 46 11 20 11
Output
90
Input
7
994 518 941 851 647 2 581
Output
4527 | instruction | 0 | 73,140 | 5 | 146,280 |
"Correct Solution:
```
n=int(input())
a=map(int, input().split())
print(sum(a) - n)
``` | output | 1 | 73,140 | 5 | 146,281 |
Provide a correct Python 3 solution for this coding contest problem.
You are given N positive integers a_1, a_2, ..., a_N.
For a non-negative integer m, let f(m) = (m\ mod\ a_1) + (m\ mod\ a_2) + ... + (m\ mod\ a_N).
Here, X\ mod\ Y denotes the remainder of the division of X by Y.
Find the maximum value of f.
Constraints
* All values in input are integers.
* 2 \leq N \leq 3000
* 2 \leq a_i \leq 10^5
Input
Input is given from Standard Input in the following format:
N
a_1 a_2 ... a_N
Output
Print the maximum value of f.
Examples
Input
3
3 4 6
Output
10
Input
5
7 46 11 20 11
Output
90
Input
7
994 518 941 851 647 2 581
Output
4527 | instruction | 0 | 73,142 | 5 | 146,284 |
"Correct Solution:
```
N = int(input())
l = list(map(int, input().split()))
print(sum(l)-N)
``` | output | 1 | 73,142 | 5 | 146,285 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
You are given N positive integers a_1, a_2, ..., a_N.
For a non-negative integer m, let f(m) = (m\ mod\ a_1) + (m\ mod\ a_2) + ... + (m\ mod\ a_N).
Here, X\ mod\ Y denotes the remainder of the division of X by Y.
Find the maximum value of f.
Constraints
* All values in input are integers.
* 2 \leq N \leq 3000
* 2 \leq a_i \leq 10^5
Input
Input is given from Standard Input in the following format:
N
a_1 a_2 ... a_N
Output
Print the maximum value of f.
Examples
Input
3
3 4 6
Output
10
Input
5
7 46 11 20 11
Output
90
Input
7
994 518 941 851 647 2 581
Output
4527
Submitted Solution:
```
input()
lst = [int(x) - 1 for x in input().split()]
print(sum(lst))
``` | instruction | 0 | 73,143 | 5 | 146,286 |
Yes | output | 1 | 73,143 | 5 | 146,287 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
You are given N positive integers a_1, a_2, ..., a_N.
For a non-negative integer m, let f(m) = (m\ mod\ a_1) + (m\ mod\ a_2) + ... + (m\ mod\ a_N).
Here, X\ mod\ Y denotes the remainder of the division of X by Y.
Find the maximum value of f.
Constraints
* All values in input are integers.
* 2 \leq N \leq 3000
* 2 \leq a_i \leq 10^5
Input
Input is given from Standard Input in the following format:
N
a_1 a_2 ... a_N
Output
Print the maximum value of f.
Examples
Input
3
3 4 6
Output
10
Input
5
7 46 11 20 11
Output
90
Input
7
994 518 941 851 647 2 581
Output
4527
Submitted Solution:
```
N = int(input())
lis = map(int,input().split())
print(sum(lis)-N)
``` | instruction | 0 | 73,144 | 5 | 146,288 |
Yes | output | 1 | 73,144 | 5 | 146,289 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
You are given N positive integers a_1, a_2, ..., a_N.
For a non-negative integer m, let f(m) = (m\ mod\ a_1) + (m\ mod\ a_2) + ... + (m\ mod\ a_N).
Here, X\ mod\ Y denotes the remainder of the division of X by Y.
Find the maximum value of f.
Constraints
* All values in input are integers.
* 2 \leq N \leq 3000
* 2 \leq a_i \leq 10^5
Input
Input is given from Standard Input in the following format:
N
a_1 a_2 ... a_N
Output
Print the maximum value of f.
Examples
Input
3
3 4 6
Output
10
Input
5
7 46 11 20 11
Output
90
Input
7
994 518 941 851 647 2 581
Output
4527
Submitted Solution:
```
N = int(input())
print(sum(list(map(int, input().split(" "))))-N)
``` | instruction | 0 | 73,145 | 5 | 146,290 |
Yes | output | 1 | 73,145 | 5 | 146,291 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
You are given N positive integers a_1, a_2, ..., a_N.
For a non-negative integer m, let f(m) = (m\ mod\ a_1) + (m\ mod\ a_2) + ... + (m\ mod\ a_N).
Here, X\ mod\ Y denotes the remainder of the division of X by Y.
Find the maximum value of f.
Constraints
* All values in input are integers.
* 2 \leq N \leq 3000
* 2 \leq a_i \leq 10^5
Input
Input is given from Standard Input in the following format:
N
a_1 a_2 ... a_N
Output
Print the maximum value of f.
Examples
Input
3
3 4 6
Output
10
Input
5
7 46 11 20 11
Output
90
Input
7
994 518 941 851 647 2 581
Output
4527
Submitted Solution:
```
print(-int(input())+sum(int(i) for i in input().split()))
``` | instruction | 0 | 73,146 | 5 | 146,292 |
Yes | output | 1 | 73,146 | 5 | 146,293 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
You are given N positive integers a_1, a_2, ..., a_N.
For a non-negative integer m, let f(m) = (m\ mod\ a_1) + (m\ mod\ a_2) + ... + (m\ mod\ a_N).
Here, X\ mod\ Y denotes the remainder of the division of X by Y.
Find the maximum value of f.
Constraints
* All values in input are integers.
* 2 \leq N \leq 3000
* 2 \leq a_i \leq 10^5
Input
Input is given from Standard Input in the following format:
N
a_1 a_2 ... a_N
Output
Print the maximum value of f.
Examples
Input
3
3 4 6
Output
10
Input
5
7 46 11 20 11
Output
90
Input
7
994 518 941 851 647 2 581
Output
4527
Submitted Solution:
```
n,a=open(0);print(eval(a.replace(" ","+")+"-"+n[:-1]))
``` | instruction | 0 | 73,147 | 5 | 146,294 |
No | output | 1 | 73,147 | 5 | 146,295 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
You are given N positive integers a_1, a_2, ..., a_N.
For a non-negative integer m, let f(m) = (m\ mod\ a_1) + (m\ mod\ a_2) + ... + (m\ mod\ a_N).
Here, X\ mod\ Y denotes the remainder of the division of X by Y.
Find the maximum value of f.
Constraints
* All values in input are integers.
* 2 \leq N \leq 3000
* 2 \leq a_i \leq 10^5
Input
Input is given from Standard Input in the following format:
N
a_1 a_2 ... a_N
Output
Print the maximum value of f.
Examples
Input
3
3 4 6
Output
10
Input
5
7 46 11 20 11
Output
90
Input
7
994 518 941 851 647 2 581
Output
4527
Submitted Solution:
```
n = int(input())
arr = [int(a) for a in input().split()]
max_mod = 0
for i in range(1, 100000):
cur_mod = 0
for a in arr:
cur_mod += i % a
max_mod = max(max_mod, cur_mod)
print(max_mod)
``` | instruction | 0 | 73,148 | 5 | 146,296 |
No | output | 1 | 73,148 | 5 | 146,297 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
You are given N positive integers a_1, a_2, ..., a_N.
For a non-negative integer m, let f(m) = (m\ mod\ a_1) + (m\ mod\ a_2) + ... + (m\ mod\ a_N).
Here, X\ mod\ Y denotes the remainder of the division of X by Y.
Find the maximum value of f.
Constraints
* All values in input are integers.
* 2 \leq N \leq 3000
* 2 \leq a_i \leq 10^5
Input
Input is given from Standard Input in the following format:
N
a_1 a_2 ... a_N
Output
Print the maximum value of f.
Examples
Input
3
3 4 6
Output
10
Input
5
7 46 11 20 11
Output
90
Input
7
994 518 941 851 647 2 581
Output
4527
Submitted Solution:
```
n=int(input())
a=[int(x) for x in input().split()]
import numpy as np
import math
from functools import reduce,partial
import operator
prod = partial(reduce, operator.mul)
def gcd(numbers):
return reduce(math.gcd, numbers)
lcm=prod(a)//gcd(a)
print(sum([(lcm-1)%ai for ai in a]))
``` | instruction | 0 | 73,150 | 5 | 146,300 |
No | output | 1 | 73,150 | 5 | 146,301 |
Provide a correct Python 3 solution for this coding contest problem.
Example
Input
ACM
Output
0 | instruction | 0 | 73,260 | 5 | 146,520 |
"Correct Solution:
```
from itertools import permutations
base = "=+-*()01"
s = input()
l = len(s)
mapping = {}
counter = {}
cnt = 0
for c in s:
if c in base:
continue
if c not in mapping:
mapping[c] = cnt
cnt += 1
v = mapping[c]
counter[v] = counter.get(v, 0) + 1
if cnt > 8:
print(0)
exit(0)
def solve(read):
cur = failed = 0
def next():
nonlocal cur
cur += 1
def error():
nonlocal failed
failed = 1
def number():
res = 0
if read(cur) not in "01":
error()
first = 1
while 1:
c = read(cur)
if c not in "01":
break
if not first and res == 0:
error()
res = (res << 1) ^ int(c)
next() # "0" or "1"
first = 0
return res
def factor():
c = read(cur)
if c == "-":
next() # "-"
return -factor()
elif c == "(":
next() # "("
val = expr()
if read(cur) != ")":
error()
next() # ")"
return val
return number()
def term():
res = 1
while 1:
res *= factor()
c = read(cur)
if c != "*":
break
next() # "*"
return res
def expr():
res = 0
op = "+"
while 1:
if op == "+":
res += term()
else:
res -= term()
c = read(cur)
if c not in "+-":
break
next() # "+" or "-"
op = c
return res
if sum(read(i) == "=" for i in range(l)) != 1:
return 0
lv = expr()
next() # "="
rv = expr()
if not failed and cur == l:
return lv == rv
return 0
def get(b):
def read(cur):
if l <= cur:
return "$"
if s[cur] in base:
return s[cur]
return b[mapping[s[cur]]]
return read
ans = 0
for b in permutations(base, cnt):
ans += solve(get(b))
print(ans)
``` | output | 1 | 73,260 | 5 | 146,521 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
A number is called 2050-number if it is 2050, 20500, ..., (2050 β
10^k for integer k β₯ 0).
Given a number n, you are asked to represent n as the sum of some (not necessarily distinct) 2050-numbers. Compute the minimum number of 2050-numbers required for that.
Input
The first line contains a single integer T (1β€ Tβ€ 1 000) denoting the number of test cases.
The only line of each test case contains a single integer n (1β€ nβ€ 10^{18}) denoting the number to be represented.
Output
For each test case, output the minimum number of 2050-numbers in one line.
If n cannot be represented as the sum of 2050-numbers, output -1 instead.
Example
Input
6
205
2050
4100
20500
22550
25308639900
Output
-1
1
2
1
2
36
Note
In the third case, 4100 = 2050 + 2050.
In the fifth case, 22550 = 20500 + 2050.
Submitted Solution:
```
# problem: https://codeforces.com/problemset/problem/1517/A
def isValid(number):
if number % 2050 != 0:
return -1
number = number // 2050
sum =0
while(number > 0):
# print(number, number %10)
sum += number % 10
number = number // 10
return sum
t = int(input())
while(t):
t-=1
print(isValid(int(input())))
``` | instruction | 0 | 73,587 | 5 | 147,174 |
Yes | output | 1 | 73,587 | 5 | 147,175 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
A number is called 2050-number if it is 2050, 20500, ..., (2050 β
10^k for integer k β₯ 0).
Given a number n, you are asked to represent n as the sum of some (not necessarily distinct) 2050-numbers. Compute the minimum number of 2050-numbers required for that.
Input
The first line contains a single integer T (1β€ Tβ€ 1 000) denoting the number of test cases.
The only line of each test case contains a single integer n (1β€ nβ€ 10^{18}) denoting the number to be represented.
Output
For each test case, output the minimum number of 2050-numbers in one line.
If n cannot be represented as the sum of 2050-numbers, output -1 instead.
Example
Input
6
205
2050
4100
20500
22550
25308639900
Output
-1
1
2
1
2
36
Note
In the third case, 4100 = 2050 + 2050.
In the fifth case, 22550 = 20500 + 2050.
Submitted Solution:
```
import sys
import math
from collections import Counter,defaultdict
LI=lambda:list(map(int,input().split()))
IN=lambda:int(input())
S=lambda:input()
def solve():
n=IN()
ans=0
s=n/2050
if s!=int(s) or s==0:
print(-1)
return
s=int(s)
for i in str(s):
ans+=int(i)
print(ans)
for _ in range(IN()):
solve()
``` | instruction | 0 | 73,588 | 5 | 147,176 |
No | output | 1 | 73,588 | 5 | 147,177 |
Provide tags and a correct Python 3 solution for this coding contest problem.
Input
The only line of input contains three integers a1, a2, a3 (1 β€ a1, a2, a3 β€ 20), separated by spaces.
Output
Output a single integer.
Examples
Input
2 3 2
Output
5
Input
13 14 1
Output
14
Input
14 5 9
Output
464
Input
17 18 3
Output
53 | instruction | 0 | 73,593 | 5 | 147,186 |
Tags: *special
Correct Solution:
```
a,b,c = map(int, input().split())
fiblist = []
fiblist.append(a)
fiblist.append(b)
while (len(fiblist) - 1) < c:
for i in range(2, 22):
x = fiblist[i - 1] + fiblist[i - 2]
fiblist.append(x)
else:
print(fiblist[c])
``` | output | 1 | 73,593 | 5 | 147,187 |
Provide tags and a correct Python 3 solution for this coding contest problem.
Input
The only line of input contains three integers a1, a2, a3 (1 β€ a1, a2, a3 β€ 20), separated by spaces.
Output
Output a single integer.
Examples
Input
2 3 2
Output
5
Input
13 14 1
Output
14
Input
14 5 9
Output
464
Input
17 18 3
Output
53 | instruction | 0 | 73,594 | 5 | 147,188 |
Tags: *special
Correct Solution:
```
"""====================================================================================
====================================================================================
___ _______ ___ _______ ___ ___
| /\ | | \ | | / | | | | |\ /|
| / \ | | \ | | / | | | | | \ / |
|___ /____\ | | \ | |/ |___| | | | \/ |
| / \ | | / | |\ |\ | | | |
| / \ | | / | | \ | \ | | | |
___|/ \___|___ |___/ ___|___ | \ | \ |___| | |
====================================================================================
====================================================================================
"""
# β₯β₯β₯β₯β₯β₯β₯β₯β₯β₯β₯β₯β₯β₯β₯β₯
a1,a2,a3 = map(int,input().split())
s = []
s.append(a1)
s.append(a2)
for i in range(2,a3+1):
j = 0
j += s[i-1] + s[i-2]
s.append(j)
print(s[-1])
# β₯β₯β₯β₯β₯β₯β₯β₯β₯β₯β₯β₯β₯β₯β₯β₯
"""====================================================================================
====================================================================================
___ _______ ___ _______ ___ ___
| /\ | | \ | | / | | | | |\ /|
| / \ | | \ | | / | | | | | \ / |
|___ /____\ | | \ | |/ |___| | | | \/ |
| / \ | | / | |\ |\ | | | |
| / \ | | / | | \ | \ | | | |
___|/ \___|___ |___/ ___|___ | \ | \ |___| | |
====================================================================================
====================================================================================
"""
``` | output | 1 | 73,594 | 5 | 147,189 |
Provide tags and a correct Python 3 solution for this coding contest problem.
Input
The only line of input contains three integers a1, a2, a3 (1 β€ a1, a2, a3 β€ 20), separated by spaces.
Output
Output a single integer.
Examples
Input
2 3 2
Output
5
Input
13 14 1
Output
14
Input
14 5 9
Output
464
Input
17 18 3
Output
53 | instruction | 0 | 73,595 | 5 | 147,190 |
Tags: *special
Correct Solution:
```
def sui(f,n):
if(n==0):
return f[0]
elif(n==1):
return f[1]
else:
return sui(f,n-1)+sui(f,n-2)
f=[*map(int,input().split())]
print(sui(f,f[2]))
``` | output | 1 | 73,595 | 5 | 147,191 |
Provide tags and a correct Python 3 solution for this coding contest problem.
Input
The only line of input contains three integers a1, a2, a3 (1 β€ a1, a2, a3 β€ 20), separated by spaces.
Output
Output a single integer.
Examples
Input
2 3 2
Output
5
Input
13 14 1
Output
14
Input
14 5 9
Output
464
Input
17 18 3
Output
53 | instruction | 0 | 73,596 | 5 | 147,192 |
Tags: *special
Correct Solution:
```
x, y, n = map(int, input().split())
a = [0] * (n + 1)
a[0] = x
a[1] = y
for i in range(2, n + 1):
a[i] = a[i - 2] + a[i - 1]
print(a[n])
``` | output | 1 | 73,596 | 5 | 147,193 |
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